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Proceedings Paper

A flexible mathematical model for matching of 3D surfaces and attributes
Author(s): Devrim Akca; Armin Gruen
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Paper Abstract

An algorithm for the least squares matching of overlapping 3D surfaces is presented. It estimates the transformation parameters between two or more fully 3D surfaces, using the Generalized Gauss-Markoff model, minimizing the sum of squares of the Euclidean distances between the surfaces. This formulation gives the opportunity of matching arbitrarily oriented 3D surfaces simultaneously, without using explicit tie points. Besides the mathematical model and execution aspects we give further extension of the basic model. The first extension is the simultaneous matching of sub-surface patches, which are selected in cooperative surface areas. It provides a computationally effective solution, since it matches only relevant multi-subpatches rather than the whole overlapping areas. The second extension is the matching of surface geometry and its attribute information, e.g. reflectance, color, temperature, etc., under a combined estimation model. We give practical examples for the demonstration of the basic method and the extensions.

Paper Details

Date Published: 17 January 2005
PDF: 12 pages
Proc. SPIE 5665, Videometrics VIII, 56650J (17 January 2005); doi: 10.1117/12.587527
Show Author Affiliations
Devrim Akca, Swiss Federal Institute of Technology Zurich (Switzerland)
Armin Gruen, Swiss Federal Institute of Technology Zurich (Switzerland)


Published in SPIE Proceedings Vol. 5665:
Videometrics VIII
J.-Angelo Beraldin; Sabry F. El-Hakim; Armin Gruen; James S. Walton, Editor(s)

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